Answer:
2/3 ≈ 0.6667
Step-by-step explanation:
apply soh cah toa
sine=opposite/hypo
sine=4/6
sine=2/3
Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
Answer: 41.5
Step-by-step explanation:
Number of tickets sold on day one = 23
Number of tickets sold on day two = 25
Number of tickets sold on day three = 35
Total tickets sold = 23 + 25 + 35 = 83
Since they want to share it equally, each boy will have:
= 83/2
= 41.5
Answer:
126
Step-by-step explanation:
140*10%
change to decimal:
140*.10
14 dollars off original price
140 - 14 = 126
